Perturbing gauge/gravity duals by a Romans mass

TL;DR

This paper develops a method to generate gravity solutions in massive IIA supergravity as first-order perturbations in the Romans mass, enabling dual descriptions of specific conformal field theories.

Contribution

It introduces an algorithmic approach to produce gravity duals for Chern--Simons--matter theories with non-zero level sums by perturbing in the Romans mass.

Findings

Constructed gravity solutions as infinitesimal perturbations in Romans mass.

Applied method to Chern--Simons--matter theories with non-zero level sum.

Provided dual descriptions for new classes of conformal field theories.

Abstract

We show how to produce algorithmically gravity solutions in massive IIA (as infinitesimal first order perturbations in the Romans mass parameter) dual to assigned conformal field theories. We illustrate the procedure on a family of Chern--Simons--matter conformal field theories that we recently obtained from the N=6 theory by waiving the condition that the levels sum up to zero.